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EECT is primarily devoted to papers on analysis and control of infinite dimensional systems with emphasis on applications to PDE's and FDEs. Topics include:

  *  Modeling of physical systems as infinite-dimensional processes
  *  Direct problems such as existence, regularity and well-posedness
  *  Stability, long-time behavior and associated dynamical attractors
  *  Indirect problems such as exact controllability, reachability theory and inverse problems
  *  Optimization - including shape optimization - optimal control, game theory and calculus of variations
  *  Well-posedness, stability and control of coupled systems with an interface. Free boundary problems and problems with moving interface(s)
  *  Applications of the theory to physics, chemistry, engineering, economics, medicine and biology
Note: “Most Cited” is by Cross-Ref , and “Most Downloaded” is based on available data in the new website.

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On the three dimensional Kelvin-Voigt fluids: global solvability, exponential stability and exact controllability of Galerkin approximations
Manil T. Mohan
2020, 9(2) : 301-339 doi: 10.3934/eect.2020007 +[Abstract](1136) +[HTML](492) +[PDF](485.25KB)
Regularized solution for a biharmonic equation with discrete data
Tran Ngoc Thach, Nguyen Huy Tuan and Donal O'Regan
2020, 9(2) : 341-358 doi: 10.3934/eect.2020008 +[Abstract](750) +[HTML](368) +[PDF](830.24KB)
Decay rates for second order evolution equations in Hilbert spaces with nonlinear time-dependent damping
Jun-Ren Luo and Ti-Jun Xiao
2020, 9(2) : 359-373 doi: 10.3934/eect.2020009 +[Abstract](744) +[HTML](319) +[PDF](299.02KB)
Stochastic porous media equations with divergence Itô noise
Ioana Ciotir
2020, 9(2) : 375-398 doi: 10.3934/eect.2020010 +[Abstract](636) +[HTML](310) +[PDF](365.63KB)
Null-controllability properties of a fractional wave equation with a memory term
Umberto Biccari and Mahamadi Warma
2020, 9(2) : 399-430 doi: 10.3934/eect.2020011 +[Abstract](749) +[HTML](339) +[PDF](461.26KB)
Existence of mass-conserving weak solutions to the singular coagulation equation with multiple fragmentation
Prasanta Kumar Barik
2020, 9(2) : 431-446 doi: 10.3934/eect.2020012 +[Abstract](610) +[HTML](321) +[PDF](321.76KB)
Moving and oblique observations of beams and plates
Philippe Jaming and Vilmos Komornik
2020, 9(2) : 447-468 doi: 10.3934/eect.2020013 +[Abstract](538) +[HTML](310) +[PDF](371.59KB)
Robust attractors for a Kirchhoff-Boussinesq type equation
Zhijian Yang, Na Feng and Yanan Li
2020, 9(2) : 469-486 doi: 10.3934/eect.2020020 +[Abstract](429) +[HTML](219) +[PDF](436.96KB)
On a Kirchhoff wave model with nonlocal nonlinear damping
Vando Narciso
2020, 9(2) : 487-508 doi: 10.3934/eect.2020021 +[Abstract](457) +[HTML](227) +[PDF](403.23KB)
Uniform stabilization of a wave equation with partial Dirichlet delayed control
Xiaorui Wang and Genqi Xu
2020, 9(2) : 509-533 doi: 10.3934/eect.2020022 +[Abstract](480) +[HTML](254) +[PDF](424.45KB)
Null controllability for a heat equation with dynamic boundary conditions and drift terms
Abdelaziz Khoutaibi and Lahcen Maniar
2020, 9(2) : 535-559 doi: 10.3934/eect.2020023 +[Abstract](550) +[HTML](235) +[PDF](454.46KB)
On a backward problem for two-dimensional time fractional wave equation with discrete random data
Nguyen Huy Tuan, Tran Ngoc Thach and Yong Zhou
2020, 9(2) : 561-579 doi: 10.3934/eect.2020024 +[Abstract](498) +[HTML](209) +[PDF](420.19KB)
Forward controllability of a random attractor for the non-autonomous stochastic sine-Gordon equation on an unbounded domain
Shuang Yang and Yangrong Li
2019doi: 10.3934/eect.2020025 +[Abstract](401) +[HTML](196) +[PDF](378.85KB)
Local null controllability of coupled degenerate systems with nonlocal terms and one control force
R. Demarque, J. Límaco and L. Viana
2019doi: 10.3934/eect.2020026 +[Abstract](419) +[HTML](193) +[PDF](455.09KB)
Semiglobal exponential stabilization of nonautonomous semilinear parabolic-like systems
Sérgio S. Rodrigues
2019doi: 10.3934/eect.2020027 +[Abstract](406) +[HTML](233) +[PDF](1394.67KB)
Boundary controllability of the Korteweg-de Vries equation on a tree-shaped network
Eduardo Cerpa, Emmanuelle Crépeau and Julie Valein
2019doi: 10.3934/eect.2020028 +[Abstract](526) +[HTML](202) +[PDF](332.3KB)
Pointwise control of the linearized Gear-Grimshaw system
Roberto de A. Capistrano-Filho, Vilmos Komornik and Ademir F. Pazoto
2019doi: 10.3934/eect.2020029 +[Abstract](363) +[HTML](186) +[PDF](384.78KB)
Remarks on the damped nonlinear Schrödinger equation
Tarek Saanouni
2019doi: 10.3934/eect.2020030 +[Abstract](354) +[HTML](186) +[PDF](327.4KB)
Approximate continuous data assimilation of the 2D Navier-Stokes equations via the Voigt-regularization with observable data
Adam Larios and Yuan Pei
2019doi: 10.3934/eect.2020031 +[Abstract](432) +[HTML](215) +[PDF](353.99KB)
Existence and asymptotic stability of periodic solutions for neutral evolution equations with delay
Qiang Li and Mei Wei
2019doi: 10.3934/eect.2020032 +[Abstract](431) +[HTML](273) +[PDF](366.59KB)
Continuity with respect to fractional order of the time fractional diffusion-wave equation
Nguyen Huy Tuan, Donal O'Regan and Tran Bao Ngoc
2019doi: 10.3934/eect.2020033 +[Abstract](519) +[HTML](256) +[PDF](549.55KB)
Design of boundary stabilizers for the non-autonomous cubic semilinear heat equation driven by a multiplicative noise
Ionuţ Munteanu
2019doi: 10.3934/eect.2020034 +[Abstract](320) +[HTML](188) +[PDF](333.52KB)
On stochastic maximum principle for risk-sensitive of fully coupled forward-backward stochastic control of mean-field type with application
Adel Chala and Dahbia Hafayed
2020doi: 10.3934/eect.2020035 +[Abstract](195) +[HTML](125) +[PDF](368.04KB)
Time-varying integro-differential inclusions with Clarke sub-differential and non-local initial conditions: existence and approximate controllability
Yong-Kui Chang and Xiaojing Liu
2020doi: 10.3934/eect.2020036 +[Abstract](235) +[HTML](179) +[PDF](363.8KB)
On the management fourth-order Schrödinger-Hartree equation
Carlos Banquet and Élder J. Villamizar-Roa
2020doi: 10.3934/eect.2020037 +[Abstract](168) +[HTML](111) +[PDF](445.7KB)
Nonlocal final value problem governed by semilinear anomalous diffusion equations
Dinh-Ke Tran and Tran-Phuong-Thuy Lam
2020doi: 10.3934/eect.2020038 +[Abstract](288) +[HTML](145) +[PDF](357.54KB)
Uniform attractors of 3D Navier-Stokes-Voigt equations with memory and singularly oscillating external forces
Cung The Anh, Dang Thi Phuong Thanh and Nguyen Duong Toan
2020doi: 10.3934/eect.2020039 +[Abstract](192) +[HTML](112) +[PDF](391.89KB)
Global existence for a class of Keller-Segel models with signal-dependent motility and general logistic term
Wenbin Lv and Qingyuan Wang
2020doi: 10.3934/eect.2020040 +[Abstract](201) +[HTML](111) +[PDF](326.23KB)
Measurable solutions for elliptic and evolution inclusions
Kenneth Kuttler
2020doi: 10.3934/eect.2020041 +[Abstract](167) +[HTML](117) +[PDF](299.09KB)
A nonsmooth approach for the modelling of a mechanical rotary drilling system with friction
Samir Adly and Daniel Goeleven
2020doi: 10.3934/eect.2020042 +[Abstract](167) +[HTML](108) +[PDF](1410.51KB)
Topological optimization and minimal compliance in linear elasticity
Cornel Marius Murea and Dan Tiba
2020doi: 10.3934/eect.2020043 +[Abstract](187) +[HTML](124) +[PDF](3459.3KB)
History-dependent differential variational-hemivariational inequalities with applications to contact mechanics
Zhenhai Liu, Van Thien Nguyen, Jen-Chih Yao and Shengda Zeng
2020doi: 10.3934/eect.2020044 +[Abstract](203) +[HTML](132) +[PDF](317.76KB)
Convergence of simultaneous distributed-boundary parabolic optimal control problems
Domingo Tarzia, Carolina Bollo and Claudia Gariboldi
2020doi: 10.3934/eect.2020045 +[Abstract](179) +[HTML](120) +[PDF](368.98KB)
Stability analysis and optimal control of A stationary Stokes hemivariational inequality
Changjie Fang and Weimin Han
2020doi: 10.3934/eect.2020046 +[Abstract](162) +[HTML](107) +[PDF](313.96KB)
Fully history-dependent evolution hemivariational inequalities with constraints
Stanisław Migórski, Yi-bin Xiao and Jing Zhao
2020doi: 10.3934/eect.2020047 +[Abstract](167) +[HTML](117) +[PDF](385.7KB)
Tykhonov well-posedness of a viscoplastic contact problem
Mircea Sofonea and Yi-bin Xiao
2020doi: 10.3934/eect.2020048 +[Abstract](174) +[HTML](115) +[PDF](357.86KB)
On dynamic contact problem with generalized Coulomb friction, normal compliance and damage
Leszek Gasiński and Piotr Kalita
2020doi: 10.3934/eect.2020049 +[Abstract](169) +[HTML](117) +[PDF](515.02KB)
Relaxation of optimal control problems driven by nonlinear evolution equations
Leszek Gasiński and Nikolaos S. Papageorgiou
2020doi: 10.3934/eect.2020050 +[Abstract](208) +[HTML](128) +[PDF](319.83KB)
Infimal convolution and duality in convex optimal control problems with second order evolution differential inclusions
Elimhan N. Mahmudov
2020doi: 10.3934/eect.2020051 +[Abstract](49) +[HTML](24) +[PDF](422.22KB)
Boundary null-controllability of coupled parabolic systems with Robin conditions
Kuntal Bhandari and Franck Boyer
2020doi: 10.3934/eect.2020052 +[Abstract](82) +[HTML](31) +[PDF](607.23KB)
On a final value problem for a class of nonlinear hyperbolic equations with damping term
Nguyen Huu Can, Nguyen Huy Tuan, Donal O'Regan and Vo Van Au
2020doi: 10.3934/eect.2020053 +[Abstract](77) +[HTML](21) +[PDF](485.71KB)
Uniform boundary observability with Legendre-Galerkin formulations of the 1-D wave equation
Ludovick Gagnon and José M. Urquiza
2020doi: 10.3934/eect.2020054 +[Abstract](68) +[HTML](20) +[PDF](676.11KB)
Measurable solutions to general evolution inclusions
Kevin T. Andrews, Kenneth L. Kuttler, Ji Li and Meir Shillor
2020doi: 10.3934/eect.2020055 +[Abstract](53) +[HTML](21) +[PDF](433.4KB)
Differential inclusion problems with convolution and discontinuous nonlinearities
Yongjian Liu, Zhenhai Liu and Dumitru Motreanu
2020doi: 10.3934/eect.2020056 +[Abstract](46) +[HTML](25) +[PDF](377.69KB)
Vibrations of a beam between stops: Collision events and energy balance properties
Laetitia Paoli
2020doi: 10.3934/eect.2020057 +[Abstract](42) +[HTML](18) +[PDF](398.75KB)
Existence for a quasistatic variational-hemivariational inequality
Zijia Peng, Cuiming Ma and Zhonghui Liu
2020doi: 10.3934/eect.2020058 +[Abstract](50) +[HTML](19) +[PDF](376.49KB)
Numerical analysis of a nonmonotone dynamic contact problem of a non-clamped piezoelectric viscoelastic body
Krzysztof Bartosz
2020doi: 10.3934/eect.2020059 +[Abstract](52) +[HTML](21) +[PDF](400.25KB)
A dynamic viscoelastic problem with friction and rate-depending contact interactions
Marius Cocou
2020doi: 10.3934/eect.2020060 +[Abstract](55) +[HTML](21) +[PDF](402.5KB)
Controllability for fractional evolution inclusions without compactness
Yong Zhou, V. Vijayakumar and R. Murugesu
2015, 4(4) : 507-524 doi: 10.3934/eect.2015.4.507 +[Abstract](3535) +[PDF](424.8KB) Cited By(52)
Hyperbolic Navier-Stokes equations I: Local well-posedness
Reinhard Racke and Jürgen Saal
2012, 1(1) : 195-215 doi: 10.3934/eect.2012.1.195 +[Abstract](3030) +[PDF](426.3KB) Cited By(19)
On well-posedness of incompressible two-phase flows with phase transitions: The case of equal densities
Jan Prüss, Yoshihiro Shibata, Senjo Shimizu and Gieri Simonett
2012, 1(1) : 171-194 doi: 10.3934/eect.2012.1.171 +[Abstract](3014) +[PDF](459.7KB) Cited By(15)
Feedback control of nonlinear dissipative systems by finite determining parameters - A reaction-diffusion paradigm
Abderrahim Azouani and Edriss S. Titi
2014, 3(4) : 579-594 doi: 10.3934/eect.2014.3.579 +[Abstract](2813) +[PDF](418.2KB) Cited By(14)
On Kelvin-Voigt model and its generalizations
Miroslav Bulíček, Josef Málek and K. R. Rajagopal
2012, 1(1) : 17-42 doi: 10.3934/eect.2012.1.17 +[Abstract](3801) +[PDF](596.6KB) Cited By(13)
The effect of the wave speeds and the frictional damping terms on the decay rate of the Bresse system
Abdelaziz Soufyane and Belkacem Said-Houari
2014, 3(4) : 713-738 doi: 10.3934/eect.2014.3.713 +[Abstract](2927) +[PDF](498.1KB) Cited By(13)
Fluid-structure interaction with and without internal dissipation of the structure: A contrast study in stability
George Avalos and Roberto Triggiani
2013, 2(4) : 563-598 doi: 10.3934/eect.2013.2.563 +[Abstract](2806) +[PDF](827.5KB) Cited By(12)
Rational decay rates for a PDE heat--structure interaction: A frequency domain approach
George Avalos and Roberto Triggiani
2013, 2(2) : 233-253 doi: 10.3934/eect.2013.2.233 +[Abstract](2903) +[PDF](610.3KB) Cited By(11)
Regularity and stability of a wave equation with a strong damping and dynamic boundary conditions
Nicolas Fourrier and Irena Lasiecka
2013, 2(4) : 631-667 doi: 10.3934/eect.2013.2.631 +[Abstract](3399) +[PDF](803.7KB) Cited By(9)
On the Cauchy problem for the Schrödinger-Hartree equation
Binhua Feng and Xiangxia Yuan
2015, 4(4) : 431-445 doi: 10.3934/eect.2015.4.431 +[Abstract](2732) +[PDF](441.7KB) Cited By(8)
Martingale solutions for stochastic Navier-Stokes equations driven by Lévy noise
Kumarasamy Sakthivel and Sivaguru S. Sritharan
2012, 1(2) : 355-392 doi: 10.3934/eect.2012.1.355 +[Abstract](2971) +[PDF](583.6KB) PDF Downloads(373)
The controllability of a thermoelastic plate problem revisited
Moncef Aouadi and Taoufik Moulahi
2018, 7(1) : 1-31 doi: 10.3934/eect.2018001 +[Abstract](4282) +[HTML](515) +[PDF](612.96KB) PDF Downloads(257)
Mathematics of nonlinear acoustics
Barbara Kaltenbacher
2015, 4(4) : 447-491 doi: 10.3934/eect.2015.4.447 +[Abstract](3402) +[PDF](724.1KB) PDF Downloads(245)
On the three dimensional Kelvin-Voigt fluids: global solvability, exponential stability and exact controllability of Galerkin approximations
Manil T. Mohan
2020, 9(2) : 301-339 doi: 10.3934/eect.2020007 +[Abstract](1136) +[HTML](492) +[PDF](485.25KB) PDF Downloads(217)
Stability problem for the age-dependent predator-prey model
Antoni Leon Dawidowicz and Anna Poskrobko
2018, 7(1) : 79-93 doi: 10.3934/eect.2018005 +[Abstract](4955) +[HTML](488) +[PDF](421.72KB) PDF Downloads(200)
Optimization of the blood pressure with the control in coefficients
Ruxandra Stavre
2020, 9(1) : 131-151 doi: 10.3934/eect.2020019 +[Abstract](919) +[HTML](265) +[PDF](432.4KB) PDF Downloads(196)
Energy decay for the damped wave equation on an unbounded network
Rachid Assel and Mohamed Ghazel
2018, 7(3) : 335-351 doi: 10.3934/eect.2018017 +[Abstract](4072) +[HTML](383) +[PDF](431.8KB) PDF Downloads(191)
On state-dependent sweeping process in Banach spaces
Dalila Azzam-Laouir and Fatiha Selamnia
2018, 7(2) : 183-196 doi: 10.3934/eect.2018009 +[Abstract](3899) +[HTML](290) +[PDF](393.79KB) PDF Downloads(185)
Observability of wave equation with Ventcel dynamic condition
Imen Benabbas and Djamel Eddine Teniou
2018, 7(4) : 545-570 doi: 10.3934/eect.2018026 +[Abstract](3398) +[HTML](644) +[PDF](451.6KB) PDF Downloads(184)
Decay rates for second order evolution equations in Hilbert spaces with nonlinear time-dependent damping
Jun-Ren Luo and Ti-Jun Xiao
2020, 9(2) : 359-373 doi: 10.3934/eect.2020009 +[Abstract](744) +[HTML](319) +[PDF](299.02KB) PDF Downloads(183)

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